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Convert degrees to gradians

Convert degrees (°) to gradians (gon). 1° = 1.11111 gon, and 1 gon = 0.9°.

1° = 1.11111 gon

Degrees to Gradians formula

gon = ° × 1.111111111

Multiply the number of degrees by 1.111111111.

Example: To convert 1° to gradians: 1 × 1.111111111 = 1.11111 gon.

Quick answers

What is 1° in gradians?
1° = 1.11111 gon
What is 45° in gradians?
45° = 50 gon
What is 90° in gradians?
90° = 100 gon
What is 180° in gradians?
180° = 200 gon

Degrees to Gradians conversion table

Gradians to Degrees table
degrees (°)gradians (gon)
1°1.11111 gon
5°5.55556 gon
10°11.1111 gon
15°16.6667 gon
30°33.3333 gon
45°50 gon
60°66.6667 gon
90°100 gon
120°133.333 gon
180°200 gon
270°300 gon
360°400 gon

Frequently asked questions

How many gradians are in a degree?

There are 1.11111 gradians in a degree (1° = 1.11111 gon).

How do I convert degrees to gradians?

Multiply the number of degrees by 1.111111111. To convert 1° to gradians: 1 × 1.111111111 = 1.11111 gon.

Is the Degrees to Gradians conversion exact?

Yes. Both units are defined exactly, so 1 degree is exactly 1.11111111111 gradians. Results on this page are rounded to six significant digits; pick more decimals in the converter if you need them.

What is 1° in gradians?

1° = 1.11111 gon.

How do I convert gradians back to degrees?

Use the reverse relationship: 1 gon = 0.9°. The Gradians to Degrees page has a converter and a full table.

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